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Classifying Spaces And Classifying Topoi(1st Edition)
Authors:
Izak Moerdijk
Cover Type:Hardcover
Condition:Used
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Book details
ISBN: 3540603190, 978-3540603191
Book publisher: Springer
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Classifying Spaces And Classifying Topoi 1st Edition Summary: This monograph presents a new, systematic treatment of the relation between classifying topoi and classifying spaces of topological categories. Using a new generalized geometric realization which applies to topoi, a weak homotopy equival- ence is constructed between the classifying space and the classifying topos of any small (topological) category. Topos theory is then applied to give an answer to the question of what structures are classified by "classifying" spaces.The monograph should be accessible to anyone with basic knowledge of algebraic topology, sheaf theory, and a little topos theory.
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